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4414141144 = 2373710512027
BaseRepresentation
bin1000001110001101…
…00111001011011000
3102101121222121022001
410013012213023120
533020010004034
62010002210344
7214246403110
oct40706471330
912347877261
104414141144
111965738636
12a323539b4
1355467474a
142dc35a040
151ac7cda14
hex1071a72d8

4414141144 has 64 divisors (see below), whose sum is σ = 9728559360. Its totient is φ = 1837987200.

The previous prime is 4414141141. The next prime is 4414141183. The reversal of 4414141144 is 4411414144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414141141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2176659 + ... + 2178685.

It is an arithmetic number, because the mean of its divisors is an integer number (152008740).

Almost surely, 24414141144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4414141144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864279680).

4414141144 is an abundant number, since it is smaller than the sum of its proper divisors (5314418216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4414141144 is a wasteful number, since it uses less digits than its factorization.

4414141144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3124 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The square root of 4414141144 is about 66439.0031833711. The cubic root of 4414141144 is about 1640.3961396811.

Adding to 4414141144 its reverse (4411414144), we get a palindrome (8825555288).

The spelling of 4414141144 in words is "four billion, four hundred fourteen million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 1051 2027 2072 2102 4054 4204 7357 8108 8408 14189 14714 16216 28378 29428 38887 56756 58856 74999 77774 113512 149998 155548 272209 299996 311096 524993 544418 599992 1049986 1088836 2099972 2130377 2177672 4199944 4260754 8521508 14912639 17043016 29825278 59650556 78823949 119301112 157647898 315295796 551767643 630591592 1103535286 2207070572 4414141144